a note on quasi irresolute topological groups

In this study, we investigate the further properties of quasi irresolute topological groups defined in [20]. we show that if a group homomorphism f between quasi irresolute topological groups is irresolute at e_g, then f is irresolute on g. later we prove that in a semi-connected quasi irresolute topological group (g,*,tau ), if v is any symmetric semi-open neighborhood of e_g, then g is generated by v. moreover it is proven that a subgroup h of a quasi irresolute topological group (g,*,tau) is semi-discrete if and only if it has a semi-isolated point.